TSTP Solution File: GEO230+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO230+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:14:54 EDT 2024

% Result   : CounterSatisfiable 0.21s 0.39s
% Output   : FiniteModel 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO230+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37  % Computer : n029.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Apr 30 06:10:20 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (9392)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (9398)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  % (9395)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.39  % (9396)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39  % (9394)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39  % (9399)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (9397)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  TRYING [1]
% 0.21/0.39  % (9393)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1,1,1,1]
% 0.21/0.39  TRYING [1,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1]
% 0.21/0.39  Finite Model Found!
% 0.21/0.39  % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.39  Finite Model Found!
% 0.21/0.39  % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.39  Finite Model Found!
% 0.21/0.39  % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.39  TRYING [1]
% 0.21/0.39  % (9399)First to succeed.
% 0.21/0.39  TRYING [2]
% 0.21/0.39  % (9394)Also succeeded, but the first one will report.
% 0.21/0.39  Finite Model Found!
% 0.21/0.39  % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.39  % (9396)Also succeeded, but the first one will report.
% 0.21/0.39  % SZS output start FiniteModel for theBenchmark
% 0.21/0.39  tff(declare_$i,type,$i:$tType).
% 0.21/0.39  tff(declare_$i1,type,fmb_$i_1:$i).
% 0.21/0.39  tff(declare_$i2,type,fmb_$i_2:$i).
% 0.21/0.39  tff(finite_domain,axiom,
% 0.21/0.39        ! [X:$i] : (
% 0.21/0.39           X = fmb_$i_1 | X = fmb_$i_2
% 0.21/0.39        ) ).
% 0.21/0.39  
% 0.21/0.39  tff(distinct_domain,axiom,
% 0.21/0.39           fmb_$i_1 != fmb_$i_2
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_bool,type,$o:$tType).
% 0.21/0.39  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.39  tff(finite_domain,axiom,
% 0.21/0.39        ! [X:$o] : (
% 0.21/0.39           X = fmb_bool_1
% 0.21/0.39        ) ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_reverse_line,type,reverse_line: $i > $i).
% 0.21/0.39  tff(function_reverse_line,axiom,
% 0.21/0.39             reverse_line(fmb_$i_1) = fmb_$i_2
% 0.21/0.39           & reverse_line(fmb_$i_2) = fmb_$i_1
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_line_connecting,type,line_connecting: $i * $i > $i).
% 0.21/0.39  tff(function_line_connecting,axiom,
% 0.21/0.39             line_connecting(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.39           & line_connecting(fmb_$i_1,fmb_$i_2) = fmb_$i_2
% 0.21/0.39           & line_connecting(fmb_$i_2,fmb_$i_1) = fmb_$i_1
% 0.21/0.39           & line_connecting(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_intersection_point,type,intersection_point: $i * $i > $i).
% 0.21/0.39  tff(function_intersection_point,axiom,
% 0.21/0.39             intersection_point(fmb_$i_1,fmb_$i_1) = fmb_$i_2
% 0.21/0.39           & intersection_point(fmb_$i_1,fmb_$i_2) = fmb_$i_2
% 0.21/0.39           & intersection_point(fmb_$i_2,fmb_$i_1) = fmb_$i_1
% 0.21/0.39           & intersection_point(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_parallel_through_point,type,parallel_through_point: $i * $i > $i).
% 0.21/0.39  tff(function_parallel_through_point,axiom,
% 0.21/0.39             parallel_through_point(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.21/0.39           & parallel_through_point(fmb_$i_1,fmb_$i_2) = fmb_$i_1
% 0.21/0.39           & parallel_through_point(fmb_$i_2,fmb_$i_1) = fmb_$i_2
% 0.21/0.39           & parallel_through_point(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_unequally_directed_opposite_lines,type,unequally_directed_opposite_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_unequally_directed_opposite_lines,axiom,
% 0.21/0.39             unequally_directed_opposite_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & ~unequally_directed_opposite_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & ~unequally_directed_opposite_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & unequally_directed_opposite_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_unequally_directed_lines,type,unequally_directed_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_unequally_directed_lines,axiom,
% 0.21/0.39             ~unequally_directed_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & unequally_directed_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & unequally_directed_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & ~unequally_directed_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_right_apart_point,type,right_apart_point: $i * $i > $o ).
% 0.21/0.39  tff(predicate_right_apart_point,axiom,
% 0.21/0.39             ~right_apart_point(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & ~right_apart_point(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & ~right_apart_point(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & ~right_apart_point(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_left_apart_point,type,left_apart_point: $i * $i > $o ).
% 0.21/0.39  tff(predicate_left_apart_point,axiom,
% 0.21/0.39             ~left_apart_point(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & ~left_apart_point(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & ~left_apart_point(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & ~left_apart_point(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_right_convergent_lines,type,right_convergent_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_right_convergent_lines,axiom,
% 0.21/0.39             right_convergent_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & right_convergent_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & right_convergent_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & right_convergent_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_left_convergent_lines,type,left_convergent_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_left_convergent_lines,axiom,
% 0.21/0.39             left_convergent_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & left_convergent_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & left_convergent_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & left_convergent_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_equally_directed_lines,type,equally_directed_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_equally_directed_lines,axiom,
% 0.21/0.39             equally_directed_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & ~equally_directed_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & ~equally_directed_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & equally_directed_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_equally_directed_opposite_lines,type,equally_directed_opposite_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_equally_directed_opposite_lines,axiom,
% 0.21/0.39  %         equally_directed_opposite_lines(fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         equally_directed_opposite_lines(fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         equally_directed_opposite_lines(fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         equally_directed_opposite_lines(fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_apart_point_and_line,type,apart_point_and_line: $i * $i > $o ).
% 0.21/0.39  tff(predicate_apart_point_and_line,axiom,
% 0.21/0.39             apart_point_and_line(fmb_$i_1,fmb_$i_1)
% 0.21/0.39  %         apart_point_and_line(fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         apart_point_and_line(fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         apart_point_and_line(fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_convergent_lines,type,convergent_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_convergent_lines,axiom,
% 0.21/0.39  %         convergent_lines(fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         convergent_lines(fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         convergent_lines(fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         convergent_lines(fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_divides_points,type,divides_points: $i * $i * $i > $o ).
% 0.21/0.39  tff(predicate_divides_points,axiom,
% 0.21/0.39             ~divides_points(fmb_$i_1,fmb_$i_1,fmb_$i_1)
% 0.21/0.39  %         divides_points(fmb_$i_1,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_1,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_1,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_2,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_2,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_2,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         divides_points(fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_before_on_line,type,before_on_line: $i * $i * $i > $o ).
% 0.21/0.39  tff(predicate_before_on_line,axiom,
% 0.21/0.39  %         before_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         before_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_distinct_points,type,distinct_points: $i * $i > $o ).
% 0.21/0.39  tff(predicate_distinct_points,axiom,
% 0.21/0.39             ~distinct_points(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & ~distinct_points(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & ~distinct_points(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & ~distinct_points(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_incident_point_and_line,type,incident_point_and_line: $i * $i > $o ).
% 0.21/0.39  tff(predicate_incident_point_and_line,axiom,
% 0.21/0.39             ~incident_point_and_line(fmb_$i_1,fmb_$i_1)
% 0.21/0.39  %         incident_point_and_line(fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         incident_point_and_line(fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         incident_point_and_line(fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_between_on_line,type,between_on_line: $i * $i * $i * $i > $o ).
% 0.21/0.39  tff(predicate_between_on_line,axiom,
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_1,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_1,fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_1,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         between_on_line(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_distinct_lines,type,distinct_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_distinct_lines,axiom,
% 0.21/0.39             distinct_lines(fmb_$i_1,fmb_$i_1)
% 0.21/0.39           & distinct_lines(fmb_$i_1,fmb_$i_2)
% 0.21/0.39           & distinct_lines(fmb_$i_2,fmb_$i_1)
% 0.21/0.39           & distinct_lines(fmb_$i_2,fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_point,type,point: $i > $o ).
% 0.21/0.39  tff(predicate_point,axiom,
% 0.21/0.39             point(fmb_$i_1)
% 0.21/0.39           & ~point(fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_line,type,line: $i > $o ).
% 0.21/0.39  tff(predicate_line,axiom,
% 0.21/0.39             ~line(fmb_$i_1)
% 0.21/0.39           & ~line(fmb_$i_2)
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  tff(declare_equal_lines,type,equal_lines: $i * $i > $o ).
% 0.21/0.39  tff(predicate_equal_lines,axiom,
% 0.21/0.39  %         equal_lines(fmb_$i_1,fmb_$i_1) undefined in model
% 0.21/0.39  %         equal_lines(fmb_$i_1,fmb_$i_2) undefined in model
% 0.21/0.39  %         equal_lines(fmb_$i_2,fmb_$i_1) undefined in model
% 0.21/0.39  %         equal_lines(fmb_$i_2,fmb_$i_2) undefined in model
% 0.21/0.39  
% 0.21/0.39  ).
% 0.21/0.39  
% 0.21/0.39  % SZS output end FiniteModel for theBenchmark
% 0.21/0.39  % (9399)------------------------------
% 0.21/0.39  % (9399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39  % (9399)Termination reason: Satisfiable
% 0.21/0.39  
% 0.21/0.39  % (9399)Memory used [KB]: 943
% 0.21/0.39  % (9399)Time elapsed: 0.007 s
% 0.21/0.39  % (9399)Instructions burned: 11 (million)
% 0.21/0.39  % (9399)------------------------------
% 0.21/0.39  % (9399)------------------------------
% 0.21/0.39  % (9392)Success in time 0.022 s
%------------------------------------------------------------------------------